Developed in conjunction with NERS 462, a course offered every year to seniors and graduate students in the University of Michigan NERS program. Includes over 60 solved examples and over 100 exercises for students.Contents - 1 Risk and safety of engineered systems. 2 Probabilities of events. 3 Reliability data. 4 Reliability of multiple-component systems. 5 Availability and reliability of systems with repair. 6 Probabilistic risk assessment. 7 PRA computer programs. 8 Nuclear power plant safety analysis. 9 Nuclear power plant accidents and incidents. 10 PRA studies of nuclear power plants. 11 Passive safety and advanced nuclear systems. 12 Risk-informed regulations and maintenance. 13 Dynamic event tree analysis. Appendix A: Reactor radiological sources. Appendix B: Some special mathematical functions. Appendix C: Some failure rate data. Appendix D: Linear Kalman filter algorithm.